What is the Greatest Common Factor of 16814 and 16823?

Greatest common factor (GCF) of 16814 and 16823 is 1.

GCF(16814,16823) = 1

We will now calculate the prime factors of 16814 and 16823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16814 and 16823.

How to find the GCF of 16814 and 16823?

We will first find the prime factorization of 16814 and 16823. After we will calculate the factors of 16814 and 16823 and find the biggest common factor number .

Step-1: Prime Factorization of 16814

Prime factors of 16814 are 2, 7, 1201. Prime factorization of 16814 in exponential form is:

16814 = 2¹ × 7¹ × 1201¹

Step-2: Prime Factorization of 16823

Prime factors of 16823 are 16823. Prime factorization of 16823 in exponential form is:

16823 = 16823¹

Step-3: Factors of 16814

List of positive integer factors of 16814 that divides 16814 without a remainder.

1, 2, 7, 14, 1201, 2402, 8407

Step-4: Factors of 16823

List of positive integer factors of 16823 that divides 16814 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16814 and 16823. The biggest common factor number is the GCF number.
So the greatest common factor 16814 and 16823 is 1.

Also check out the Least Common Multiple of 16814 and 16823